Initial-Boundary Value Problems and the Navier-Stokes Equations

Errata

  • p. 44: In the 2nd line of section 2.3 replace u t =P( ?/ ?x) by u t = P( ?/ ?x)u.

  • p. 51: In the last display equation replace ? i by Re ? i.

  • p. 100: In the display equation within Lemma 3.3.1 replace by .

  • p. 107: The point denoted by (x, t) in Figure 3.3.1 should be denoted by ( x , t ).

  • p. 153: In Figure 4.4.12 replace u ?1 by u ?0.

  • p. 156: In line 8 replace ? ?? by ? ?0.

  • p. 191: In the last line the last sum extends over all multi-indices ??0 with ??? (componentwise).

  • p. 213: In formula (7.2.6) replace w x(1) by w x (j).

  • p. 232: In the 6th line from below, the third matrix is A, not A.

  • p. 239: In the 5th formula line from below, replace xx (x, t) by xx (x, s).

  • p. 241: To obtain the estimate Re( ?? k) ? ? 1 ? stated in the 9th line from below, it should be noted that arg ? k< ?/4.

  • p. 247: Delete the leading symbol e in the first display equation.

  • p. 332: In formula (9.1.18) replace by .

  • p. 343: The reference to von Wahl's paper made in the remark is incorrect. The fact that the spatial L 3

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